Question

Find the area of the shaded sector. Leave answers in terms of 20 cm

Answer 1

Answer:$\text{Area = 50}\pi$Explanations:

The area of a sector is calculated by the formula:

$\begin{gathered} \text{Area = }\frac{\theta}{360}\times\pi r^2 \\ \text{Where }\theta\text{ = the angle} \\ \text{r = the radius} \end{gathered}$

Substituting the values of θ, and r into the formula given above:

$\begin{gathered} \text{Area = }\frac{45}{360}\times\pi\times20^2 \\ \text{Area = }\frac{400\pi}{8} \\ \text{Area = 50}\pi \end{gathered}$